Cristyortega424viz
Answered

if z varies jointly as x and y,and z=24,when x=2 and y=4,find z=2 when x=2 and y=5​

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MissJindySummerviz

Joint Variation

If z varies jointly as x and y,and z=24,when x=2 and y=4,find z=2 when x=2 and y=5​

[tex]\underline{\mathcal{INFO:}}[/tex]

  • Joint variation: z = kxy

[tex]\boxed{\tt{Solution:}}[/tex]

  • z = 24, x = 2, y = 4
  • z = kxy
  • 24 = k · 2 · 4
  • 24 = k · 8
  • 24/8 = k
  • 3 = k

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  • z = kxy
  • z = ?, x = 2, y = 5, k = 3
  • z = 3 · 2 · 5
  • z = 30

[tex]\huge\boxed{\tt{ANSWER:}}[/tex]

  • The value of z is 30.